Boris Adamczewski
Sur l'exposant de densité des nombres algébriques
In a recent work, Fischler and Rivoal introduced a new way to measure the irrationality of a real number by considering its density exponent. The specificity of this exponent is that it only takes into account sequences of rational approximations whose denominators grows at most geometrically.
In this note, we answer a question of the authors by proving that the density exponent of every algebraic irrational number is finite.
